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Finding the Fourth Proportional to 4,842.04, 7,222.97 and 4,778.68

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Solution

The fourth proportional to 4,842.04, 7,222.97 and 4,778.68 is: 7,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.04 : 7,222.97 = 4,778.68 : x
  2. Step 2: Convert to fraction form
    4,842.04/7,222.97 = 4,778.68/x
  3. Step 3: Cross multiply
    4,842.04x = 7,222.97 × 4,778.68
  4. Step 4: Simplify right side
    4,842.04x = 34,516,262.28
  5. Step 5: Solve for x
    x = 34,516,262.28/4,842.04
  6. Step 6: Final answer
    x = 7,128.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.